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Imaginary Schur-Weyl duality /
"We study imaginary representations of the Khovanov-Lauda-Rouquier algebras of affine Lie type. Irreducible modules for such algebras arise as simple heads of standard modules. In order to define standard modules one needs to have a cuspidal system for a fixed convex preorder. A cuspidal system...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1157. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
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| 050 | 4 | |a QA564 |b .K54 2017 | |
| 082 | 0 | 4 | |a 512/.482 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Kleshchëv, A. S. |q (Aleksandr Sergeevich), |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjHYcF6vgmxVjYYtJbk343 | |
| 245 | 1 | 0 | |a Imaginary Schur-Weyl duality / |c Alexander Kleshchev, Robert Muth. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2017. | |
| 264 | 4 | |c ©2016 | |
| 300 | |a 1 online resource (xvii, 83 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 245, number 1157 | |
| 588 | 0 | |a Online resource; title from PDF title page (viewed November 18, 2016). | |
| 500 | |a "Volume 245, Number 1157 (second of 6 numbers), January 2017." | ||
| 504 | |a Includes bibliographical references (pages 81-83). | ||
| 505 | 0 | 0 | |t Chapter 1. Introduction |t Chapter 2. Preliminaries |t Chapter 3. Khovanov-Lauda-Rouquier algebras |t Chapter 4. Imaginary Schur-Weyl duality |t Chapter 5. Imaginary Howe duality |t Chapter 6. Morita equaivalence |t Chapter 7. On formal characters of imaginary modules |t Chapter 8. Imaginary tensor space for non-simply-laced types. |
| 520 | 3 | |a "We study imaginary representations of the Khovanov-Lauda-Rouquier algebras of affine Lie type. Irreducible modules for such algebras arise as simple heads of standard modules. In order to define standard modules one needs to have a cuspidal system for a fixed convex preorder. A cuspidal system consists of irreducible cuspidal modules--one for each real positive root for the corresponding affine root system X<sub>l</sub><sup>(1)</sup>, as well as irreducible imaginary modules--one for each l-multiplication. We study imaginary modules by means of 'imaginary Schur-Weyl duality'. We introduce an imaginary analogue of tensor space and the imaginary Schur algebra. We construct a projective generator for the imaginary Schur algebra, which yields a Morita equivalence between the imaginary and the classical Schur algebra. We construct imaginary analogues of Gelfand-Graev representations, Ringel duality and the Jacobi-Trudy formula."--Page v | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Duality theory (Mathematics) | |
| 650 | 0 | |a Representations of Lie algebras. | |
| 650 | 0 | |a Lie algebras. | |
| 650 | 6 | |a Principe de dualité (Mathématiques) | |
| 650 | 6 | |a Représentations des algèbres de Lie. | |
| 650 | 6 | |a Algèbres de Lie. | |
| 650 | 7 | |a Duality theory (Mathematics) |2 fast | |
| 650 | 7 | |a Lie algebras |2 fast | |
| 650 | 7 | |a Representations of Lie algebras |2 fast | |
| 700 | 1 | |a Muth, Robert, |d 1978- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjH6KJxyMkwvmKWFdGWKJP | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Imaginary Schur-Weyl duality (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFGftdtFDHqdPDm3MCDtjy |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Kleshchëv, A.S. |t Imaginary Schur-Weyl duality / |x 0065-9266 |z 9781470422493 |w (DLC) 2016053200 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1157. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4908273 |z Texto completo |
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